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Finding the Fourth Proportional to 15,854.40, 21,871.76 and 11,141.42

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Solution

The fourth proportional to 15,854.40, 21,871.76 and 11,141.42 is: 15,370.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.40 : 21,871.76 = 11,141.42 : x
  2. Step 2: Convert to fraction form
    15,854.40/21,871.76 = 11,141.42/x
  3. Step 3: Cross multiply
    15,854.40x = 21,871.76 × 11,141.42
  4. Step 4: Simplify right side
    15,854.40x = 243,682,299.23
  5. Step 5: Solve for x
    x = 243,682,299.23/15,854.40
  6. Step 6: Final answer
    x = 15,370.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.